夸克味形的形状
The shape of quark flavors
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中文总结 AI 辅助
该研究通过额外维度中高斯波函数重叠积分构造夸克汤川耦合，利用机器学习优化满足实验约束，自然解释夸克质量层级。
中文摘要 AI 辅助
我们将夸克扇区的汤川耦合构造为额外空间维度中高斯波函数的重叠积分。假设每个手征费米子的波函数局域在额外维度的某一点，而希格斯双重态的波函数是平坦的，则汤川矩阵元由三个左手夸克双重态 $q_1$, $q_2$, $q_3$ 和六个右手夸克单态 $u_1$, $u_2$, $u_3$, $d_1$, $d_2$, $d_3$ 的相对位置决定。我们采用机器学习中的数值优化技术来识别满足当前所有关于夸克汤川扇区实验约束的场构型。在此框架下，夸克质量的大层级自然产生，因为高斯波函数的重叠积分对额外维度中 ${\mathcal O}(1)$ 的分离呈指数敏感。
英文摘要
We construct the Yukawa couplings of the quark sector as overlap integrals of Gaussian wave functions in extra spatial dimensions. Assuming that the wave function of each chiral fermion is localised at a point in the extra dimensions, while that of the Higgs doublet is flat, the Yukawa matrix elements are determined by the relative positions of the three left-handed quark doublets, $q_1$, $q_2$, $q_3$, and the six right-handed quark singlets, $u_1$, $u_2$, $u_3$, $d_1$, $d_2$, $d_3$. We employ numerical optimisation techniques from machine learning to identify field configurations that satisfy all current experimental constraints on the quark Yukawa sector. In this framework, the large hierarchy of quark masses arises naturally, since the overlap integrals of Gaussian wave functions are exponentially sensitive to ${\mathcal O}(1)$ separations in the extra dimensions.
发表机构
- Yamagata University（山形大学）
- University of Alabama（阿拉巴马大学）
机构由 AI 辅助整理，请以论文原文为准。
